Why Philosophers Should Care About Computational Complexity

@article{Aaronson2011WhyPS,
  title={Why Philosophers Should Care About Computational Complexity},
  author={Scott Aaronson},
  journal={ArXiv},
  year={2011},
  volume={abs/1108.1791}
}
One might think that, once we know something is computable, how efficiently it can be computed is a practical question with little further philosophical importance. In this essay, I offer a detailed case that one would be wrong. In particular, I argue that computational complexity theory---the field that studies the resources (such as time, space, and randomness) needed to solve computational problems---leads to new perspectives on the nature of mathematical knowledge, the strong AI debate… 

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